Interval Evaluation of Electromagnetic Scattering Using a Polynomial Chaos Expansion-Based DGTD Method

Abstract

An efficient discontinuous Galerkin time-domain (DGTD) method with polynomial chaos expansion (PCE) is proposed to analyze unbounded target scattering with interval-valued electromagnetic parameters. The proposed PCE technology is used to represent the interval-valued variables in electromagnetic analysis. The method maintains the advantages of DGTD approach which is a spatially explicit algorithm that can be easily parallelized. Moreover, the electromagnetic properties in the interval can be obtained from just a single simulation. The proposed method is validated by modeling a dielectric missile with an interval-valued permittivity. Numerical results demonstrate the accuracy and robustness of the proposed method.